Question

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?

104 units2
132 units2
152 units2
168 units2

Answer 1

152 units²

Explanation:

Surface Area :

• Area (2 triangles) + Area (2 rectangles) + Area (middle rectangle)
• 2 x 1/2 x 6 x 4 + 2 x 8 x 5 + 8 x 6
• 24 + 80 + 48
• 80 + 72
• 152 units²

Answer 2

Answer: Last option is correct.

Since we have given that

Dimension of central rectangle is 6 units by 7 units

So, Area of central rectangle is given by

Dimensions of upper and lower rectangle are as follows:

Length = 5 units

Breadth = 7 units

Area of upper and lower rectangle is given by

Similarly, dimensions of two triangles are as follows:

Height = 4 units

Base = 6 units

So, Area of two triangles is given by

Hence, Total surface area of the net of an isosceles prism is given by

Therefore, Last option is correct.